Transformations of Trigonometric Functions
Amplitude
Sketch the graphs of each trigonometric function on the same coordinate system. How does the value of a affect the graphs of sine and cosine?
A)
B)
C)
Period
Sketch the graphs of each trigonometric function on the same coordinate system. How does the value of b affect the graphs of sine and cosine?
A)
B)
Shifts
Sketch the graphs of and on the same coordinate system. How do the values of h and k affect the graphs of sine and cosine?
Putting It All Together
Sketch one cycle of each of the following trig functions.
A)
B)
C)